870461100 has 144 divisors (see below), whose sum is σ = 2895127200. Its totient is φ = 224098560.

The previous prime is 870461051. The next prime is 870461107. The reversal of 870461100 is 1164078.

It is a happy number.

It is a super-2 number, since 2×870461100² = 1515405053226420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (870461107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72742 + ... + 83858.

It is an arithmetic number, because the mean of its divisors is an integer number (20105050).

Almost surely, 2^870461100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870461100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447563600).

870461100 is an abundant number, since it is smaller than the sum of its proper divisors (2024666100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

870461100 is a wasteful number, since it uses less digits than its factorization.

870461100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11169 (or 11156 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 870461100 is about 29503.5777491476. The cubic root of 870461100 is about 954.8088942639.

The spelling of 870461100 in words is "eight hundred seventy million, four hundred sixty-one thousand, one hundred".